Atkin-Lehner |
2+ 3+ 5- 7+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
74550u |
Isogeny class |
Conductor |
74550 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
145920 |
Modular degree for the optimal curve |
Δ |
2935406250000 = 24 · 33 · 59 · 72 · 71 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ 4 -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-3825,37125] |
[a1,a2,a3,a4,a6] |
j |
3170044709/1502928 |
j-invariant |
L |
1.4323350102864 |
L(r)(E,1)/r! |
Ω |
0.71616749289836 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
74550ds1 |
Quadratic twists by: 5 |